Simplify 17(1/6x-1)+1/6x

$17 (\frac{1}{6} x - 1) + \frac{1}{6} x$

Step 1

Simplify each term.

Combine $\frac{1}{6}$ and $x$ .

$17 (\frac{x}{6} - 1) + \frac{1}{6} x$

Apply the distributive property.

$17 \frac{x}{6} + 17 \cdot - 1 + \frac{1}{6} x$

Combine $17$ and $\frac{x}{6}$ .

$\frac{17 x}{6} + 17 \cdot - 1 + \frac{1}{6} x$

Multiply $17$ by $- 1$ .

$\frac{17 x}{6} - 17 + \frac{1}{6} x$

Combine $\frac{1}{6}$ and $x$ .

$\frac{17 x}{6} - 17 + \frac{x}{6}$

$\frac{17 x}{6} - 17 + \frac{x}{6}$

Step 2

Simplify terms.

Combine the numerators over the common denominator.

$- 17 + \frac{17 x + x}{6}$

Add $17 x$ and $x$ .

$- 17 + \frac{18 x}{6}$

Cancel the common factor of $18$ and $6$ .

Factor $6$ out of $18 x$ .

$- 17 + \frac{6 (3 x)}{6}$

Cancel the common factors.

Factor $6$ out of $6$ .

$- 17 + \frac{6 (3 x)}{6 (1)}$

Cancel the common factor.

$- 17 + \frac{6 (3 x)}{6 \cdot 1}$

Rewrite the expression.

$- 17 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$- 17 + 3 x$

$- 17 + 3 x$

$- 17 + 3 x$

$- 17 + 3 x$

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